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Finding the Fourth Proportional to 7,178.40, 9,906.98 and 4,034.52

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Solution

The fourth proportional to 7,178.40, 9,906.98 and 4,034.52 is: 5,568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.40 : 9,906.98 = 4,034.52 : x
  2. Step 2: Convert to fraction form
    7,178.40/9,906.98 = 4,034.52/x
  3. Step 3: Cross multiply
    7,178.40x = 9,906.98 × 4,034.52
  4. Step 4: Simplify right side
    7,178.40x = 39,969,908.95
  5. Step 5: Solve for x
    x = 39,969,908.95/7,178.40
  6. Step 6: Final answer
    x = 5,568.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.